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      Joshua Mohr 9781593766030

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Applied Mathematical Sciences #499: Vorticity, Statistical Mechanics, and Monte Carlo Simulation

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Applied Mathematical Sciences #499: Vorticity, Statistical Mechanics, and Monte Carlo Simulation Cover

 

Synopses & Reviews

Publisher Comments:

This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics. Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of in viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows. Special attention is given to spherical models as well. This book is intended for the upper-level undergraduate or the beginning graduate level courses of mathematics and physics. It will also be of interest to readers interested in statistical mechanics methods applied to fluid mechanics problems. Readers will gain an understanding of how to synthesize new mathematics by applying familiar tools in new ways, and develop new tools to fit particular applications.

Synopsis:

This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.

Synopsis:

This book covers topics which include probability, statistical mechanics, Monte Carlo methods, spectral methods, discrete models for incompressible fluids, spin-lattice models, mesh generation and other numerical methods, geophysical models and mean field theory. The book will be a unique addition to the literature. It offers fresh insights into an important field and is certainly not a run-of-the-mill treatment of fluid mechanics or statistical mechanics.

Table of Contents

Introduction.- Probability.- Statistical Mechanics.- The Monte Carlo Approach.- Spectral Methods.- Discrete Models in Fluids.- Spin-Lattice Models.- Monte Carlo Simulations.- Polyhedra and Ground States.- Mesh Generation.- Statistical Mechanics for a Vortex Gas.- Two-layer Quasi-geostrophic Models.- Barotropic Vorticity Dynamics.- Mean Field Theory.

Product Details

ISBN:
9780387350752
Author:
Lim, Chjan
Publisher:
Springer
Author:
Nebus, Joseph
Subject:
Physics
Subject:
Differential Equations
Subject:
Applied
Subject:
Fluid mechanics
Subject:
Mathematical Physics
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Fluid- and Aerodynamics
Subject:
Fluid- and Aerodynamics <P>This book is drawn from across many active fields of mathematics and physics. The book is a unique addition to the literature and offers fresh insights into an important field. It has connections to atmospheric dynamics, spheric
Subject:
Mathematics-Applied
Copyright:
Edition Description:
Book
Series:
Springer Monographs in Mathematics
Series Volume:
499
Publication Date:
20061115
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
304
Dimensions:
235 x 155 mm 1340 gr

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Related Subjects

Computers and Internet » Networking » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Statistical Mechanics

Applied Mathematical Sciences #499: Vorticity, Statistical Mechanics, and Monte Carlo Simulation New Hardcover
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$180.25 In Stock
Product details 304 pages Not Avail - English 9780387350752 Reviews:
"Synopsis" by , This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.
"Synopsis" by , This book covers topics which include probability, statistical mechanics, Monte Carlo methods, spectral methods, discrete models for incompressible fluids, spin-lattice models, mesh generation and other numerical methods, geophysical models and mean field theory. The book will be a unique addition to the literature. It offers fresh insights into an important field and is certainly not a run-of-the-mill treatment of fluid mechanics or statistical mechanics.
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